This paper deals with the software reliability model based on a nonhomogeneousPoisson process. We introduce a new family of mean value functions which can be either NHPP-I or NHPP-II according to the choice of the distribution function. The proposed mean value function is motivated by the fact that a strictly monotone increasing function can be modelled by a distribution function and that an unknown distribution function can be also approximated by a mixture of beta distributions. Many existing mean value functions can be regarded as special cases of the proposed mean value functions. The maximum likelihood approach is used to estimate the parameters contained in the proposed model.
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